4 citations · 5 across the 2 of their papers we have counts for
2 papers
math.DS2019★ 4 cited
Justification of quasi-stationary approximation in models of gene expression of a self-regulating protein
Agnieszka Bartłomiejczyk, Marek Bodnar
We analyse a model of Hes1 gene transcription and protein synthesis with a negative feedback loop. The effect of multiple binding sites in the Hes1 promoter as well as the dimer fo…
math.AP2014★ 1 cited
Existence and uniqueness of solutions for single-population McKendrick-von Foerster models with renewal
Agnieszka Bartłomiejczyk, Henryk Leszczyński, Piotr Zwierkowski
We study a McKendrick-von Foerster type equation with renewal. This model is represented by a single equation which describes one species which produces young individuals. The rene…